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Home » \( t = \frac{4 \pm \sqrt56}2 \) - Professionaloutdoormedia

\( t = \frac{4 \pm \sqrt56}2 \) - Professionaloutdoormedia

📅 May 14, 2026 👤 scraface

May 14, 2026

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Step 3: Combine using Chinese Remainder Theorem
We seek the smallest positive \( n \) such that:
\( n \equiv 1 \text{ or } 2 \pmod{3} \)
\( n \equiv 1 \text{ or } 4 \pmod{5} \)
\( n \equiv 1 \pmod{3}, n \equiv 1 \pmod{5} \Rightarrow n \equiv 1 \pm...
\( n \equiv 1 \pmod{3}, n \equiv 4 \pmod{5} \): Solve \( n = 5k + 4 \)...
\( n \equiv 2 \pmod{3}, n \equiv 1 \pmod{5} \): Let \( n = 5k + 1 \)....
\( n \equiv 2 \pmod{3}, n \equiv 4 \pmod{5} \): \( n = 5k + 4 \). Then...
So possible solutions: 1, 4, 11, 14. The smallest positive \( n > 1 \)...
4^2 = 16 \equiv 1 \pmod{15}? \quad 16 - 1 = 15 \equiv 0 \pmod{15} \Rig...

📝 Recent Posts

#### 112
A science fiction writer imagines a space station rotating to simulate...
Given: \( a = 9.8 \), \( r = 500 \), so \( v^2 = a \times r = 9.8 \tim...
Then \( v = \sqrt{4900} = <<sqrt(4900)=70>>70 \) m/s.
A clean tech startup reduces carbon emissions by 12,000 tons in its fi...
Year 1: 12,000 tons.
Year 2: 12,000 × 1.15 = <<12000*1.15=13800>>13,800 tons.
Year 3: 13,800 × 1.15 = <<13800*1.15=15870>>15,870 tons.
Total = 12,000 + 13,800 + 15,870 = <<12000+13800+15870=41670>>41,670 t...
#### 41670A public health researcher is analyzing data from three low-...

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